document.write( "Question 892311: Does the function f(x)=x^2 have an inverse function? Explain why or why not and illustrate with a sketch of the inverse \n" ); document.write( "
Algebra.Com's Answer #540427 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
It has an inverse however it is not a function.
\n" ); document.write( "If you interchange x and y and solve for the new y (the inverse), you get,
\n" ); document.write( "\"x=y%5E2\"
\n" ); document.write( "\"y=0+%2B-+sqrt%28x%29\"
\n" ); document.write( "Since you have the plus/minus in front of the \"sqrt%28x%29\", you have two \"y\" values for every \"x\" value, which violates the definition of a function.
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\n" ); document.write( "The original function
\n" ); document.write( "\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2%29\"
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\n" ); document.write( "The original function and its inverse
\n" ); document.write( "\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2%2Csqrt%28x%29%2C-sqrt%28x%29%29\"
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